### Bernoulli Equation

In an ideal *inviscid, incompressible flow*, we have, by
*conservation of energy*,

This basic energy conservation law was published in 1738 by Daniel
Bernoulli in his classic work *Hydrodynamica*.

From §B.7.3, we have that the pressure of a gas is proportional to the average kinetic energy of the molecules making up the gas. Therefore, when a gas flows at a constant height , some of its ``pressure kinetic energy'' must be given to the kinetic energy of the flow as a whole. If the mean height of the flow changes, then kinetic energy trades with potential energy as well.

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Bernoulli Effect

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Pressure is Confined Kinetic Energy